
Recall that a circle of radius 2 centered at the origin has equation

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius

is

, it follows that the area of a quarter-circle would be

.
You have

, so the definite integral is equal to

.
Another way to verify this is to actually compute the integral. Let

, so that

. Now

Recall the half-angle identity for cosine:

This means the integral is equivalent to
Answer:
X=16
Step-by-step explanation:
10x-8=9x+8
First you have to simplify.
10x-9x=1x
So now the equation looks like this
x-8=8
Now you have to get x by itself
-8+8=0 and we have to do the same thing on both sides of the equal sign 8+8=16
The equation now looks like this x=16
And that's your answer
The numeric value of the expression -a² - 2bc - |c| for a = -3, b = -5 and c = 2 is of 9.
<h3>How to find the numeric value of an expression?</h3>
The numeric value of an expression is found replacing each letter by it's attributed value.
In this problem, the expression is:
-a² - 2bc - |c|
The attributed values are:
a = -3, b = -5 and c = 2
Hence the numeric value will be given by:
-a² - 2bc - |c| = -(-3)² - 2(-5)(2) - |2| = -(9) + 20 - 2 = -9 + 18 = 9.
More can be learned about the numeric value of an expression at brainly.com/question/14556096
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The equations are ABC and the word stories are 123
The answers are as followed
C and 1
A and 2
B and 3
Hope this helped and have an amazing day :)
-yO mAmA